The general product of tensors was introduced by Shao [1]}. Let \(\mathcal {A}\)  and \(\mathcal {B}\)  be order \(m \ge 2\)  and order \(k \ge 1\) , \(n\) -dimensional tensor respectively. The product \(\mathcal {A} \cdot \mathcal {B}\)  is a tensor \(\mathcal {C}\)  of order \(((m-1)(k-1)) + 1\)  and \(n\) -dimensional with entries
\(c_{i \alpha _1 \cdots \alpha _{m-1} } =\sum _{i_2, \cdots ,i_m \in [n]} a_{i i_2 \cdots i_m} b_{i_2 \alpha _1} \cdots b_{i_m \alpha _{m-1}},\) 
